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Author : John David Neff
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (13 download)
Download or read book A Study of Heun's Differential Equation ... written by John David Neff and published by . This book was released on 1956 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. M. Arscott
Publisher : Clarendon Press
ISBN 13 : 9780198596950
Total Pages : 382 pages
Book Rating : 4.5/5 (969 download)
Download or read book Heun's Differential Equations written by F. M. Arscott and published by Clarendon Press. This book was released on 1995 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heun's equation is a second-order differential equation which crops up in a variety of forms in a wide range of problems in applied mathematics. These include integral equations of potential theory, wave propagation, electrostatic oscillation, and Schrodinger's equation. This volume brings together important research work for the first time, providing an important resource for all those interested in this mathematical topic. Both the current theory and the main areas of application are surveyed, and includes contributions from authoritative researchers.
Author : Allan Struthers
Publisher : Springer
ISBN 13 : 3030205061
Total Pages : 514 pages
Book Rating : 4.0/5 (32 download)
Download or read book Differential Equations written by Allan Struthers and published by Springer. This book was released on 2019-07-31 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations. The style of presentation of the book ensures that the student with a minimum of assistance may apply the theorems and proofs presented. Liberal use of examples and homework problems aids the student in the study of the topics presented and applying them to numerous applications in the real scientific world. This textbook focuses on the actual solution of ordinary differential equations preparing the student to solve ordinary differential equations when exposed to such equations in subsequent courses in engineering or pure science programs. The book can be used as a text in a one-semester core course on differential equations, alternatively it can also be used as a partial or supplementary text in intensive courses that cover multiple topics including differential equations.
Author : Richard S. Palais
Publisher : American Mathematical Soc.
ISBN 13 : 0821821385
Total Pages : 329 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Equations, Mechanics, and Computation written by Richard S. Palais and published by American Mathematical Soc.. This book was released on 2009-11-13 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.
Author : Wilfred Kaplan
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book Elements of Ordinary Differential Equations written by Wilfred Kaplan and published by . This book was released on 1964 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a text for a first course on differential equations. It provides more than enough material for a one-semester course. The book is a much shortened version of the author's Ordinary Differential Equations (525 pp., Addison-Wesley Publishing Company 1958). The principal differences are as follows: the section on matrices and the chapters on exact differential equations of higher order, phase plane analysis, and fundamental theory (proofs of existence theorems) are omitted; the treatment of linear equations from the point of view of the systems designer (input-output analysis) is considerably abbreviated; the material is regrouped in 10 short chapters. With all these changes, the present volume still retains the principal aspects of the longer work: the emphasis on gaining insight and understanding as opposed to pure manipulative skill; the use of physical examples both as illustrations of the mathematical methods and as aids to understanding these methods. Chapter 1 presents the important concepts and the main problems. By a study of simple numerical methods, an understanding of the existence theorem is gained. Chapter 2, devoted to equations of first order and first degree, gives some special procedures for solving problems in explicit form but also emphasizes understanding the processes. Chapter 3 gives a number of applications of first order equations; for the linear equations, some discussion of the systems point of view is given. Chapter 4 considers linear equations of arbitrary order, presents the main theorems, and methods for equations with constant coefficients; additional methods, based on differential operators and Laplace transforms, are given in Chapter 5. Chapter 6 treats applications of linear equations, including such topics as stability, transients, response to sinusoidal forcing functions, with illustrations in mechanics and circuit theory. Chapter 7 is devoted to simultaneous linear equations, with emphasis on the method of exponential substitution; operational methods are also introduced; applications are treated briefly. Chapter 8 discusses equations not of first degree and introduces the concept of singular solution. Chapter 9 covers power series solutions, and includes solution of linear equations at regular singular points.
Author : Simo Särkkä
Publisher : Cambridge University Press
ISBN 13 : 1316510085
Total Pages : 327 pages
Book Rating : 4.3/5 (165 download)
Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.
Author : Gerhard Kristensson
Publisher : Springer Science & Business Media
ISBN 13 : 1441970207
Total Pages : 225 pages
Book Rating : 4.4/5 (419 download)
Download or read book Second Order Differential Equations written by Gerhard Kristensson and published by Springer Science & Business Media. This book was released on 2010-08-05 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order linear differential equations. The theory is presented in an entirely self-contained way, starting with an introduction of the solution of the second-order differential equations and then focusingon the systematic treatment and classification of these solutions. Each chapter contains a set of problems which help reinforce the theory. Some of the preliminaries are covered in appendices at the end of the book, one of which provides an introduction to Poincaré-Perron theory, and the appendix also contains a new way of analyzing the asymptomatic behavior of solutions of differential equations. This textbook is appropriate for advanced undergraduate and graduate students in Mathematics, Physics, and Engineering interested in Ordinary and Partial Differntial Equations. A solutions manual is available online.
Author : Matthew R. Boelkins
Publisher : Oxford University Press
ISBN 13 : 0199736669
Total Pages : 573 pages
Book Rating : 4.1/5 (997 download)
Download or read book Differential Equations with Linear Algebra written by Matthew R. Boelkins and published by Oxford University Press. This book was released on 2009-11-05 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine introductory and important ideas in each, usually through the lens of important problems that involve differential equations. Written at a sophomore level, the text is accessible to students who have completed multivariable calculus. With a systems-first approach, the book is appropriate for courses for majors in mathematics, science, and engineering that study systems of differential equations. Because of its emphasis on linearity, the text opens with a full chapter devoted to essential ideas in linear algebra. Motivated by future problems in systems of differential equations, the chapter on linear algebra introduces such key ideas as systems of algebraic equations, linear combinations, the eigenvalue problem, and bases and dimension of vector spaces. This chapter enables students to quickly learn enough linear algebra to appreciate the structure of solutions to linear differential equations and systems thereof in subsequent study and to apply these ideas regularly. The book offers an example-driven approach, beginning each chapter with one or two motivating problems that are applied in nature. The following chapter develops the mathematics necessary to solve these problems and explores related topics further. Even in more theoretical developments, we use an example-first style to build intuition and understanding before stating or proving general results. Over 100 figures provide visual demonstration of key ideas; the use of the computer algebra system Maple and Microsoft Excel are presented in detail throughout to provide further perspective and support students' use of technology in solving problems. Each chapter closes with several substantial projects for further study, many of which are based in applications. Errata sheet available at: www.oup.com/us/companion.websites/9780195385861/pdf/errata.pdf
Author : Sergeĭ I︠U︡rʹevich Slavi︠a︡nov
Publisher : Oxford University Press, USA
ISBN 13 : 9780198505730
Total Pages : 318 pages
Book Rating : 4.5/5 (57 download)
Download or read book Special Functions written by Sergeĭ I︠U︡rʹevich Slavi︠a︡nov and published by Oxford University Press, USA. This book was released on 2000 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.
Author : Solomon Lefschetz
Publisher : Princeton University Press
ISBN 13 : 1400881943
Total Pages : 212 pages
Book Rating : 4.4/5 (8 download)
Download or read book Lectures on Differential Equations. (AM-14), Volume 14 written by Solomon Lefschetz and published by Princeton University Press. This book was released on 2016-03-02 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Lectures on Differential Equations. (AM-14), Volume 14, will be forthcoming.
Author : Paul W. Davis
Publisher :
ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.3/5 (91 download)
Download or read book Differential Equations for Mathematics, Science, and Engineering written by Paul W. Davis and published by . This book was released on 1992 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created to help those studying science and engineering learn to use mathematics to think critically about physical problems, this "intellectual" text combines the ideas and techniques of differential equations with the process of modern applied mathematics modeling, analysis, and interpretation.
Author : H. A. Antosiewicz
Publisher : Mathematical Association of America (MAA)
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (321 download)
Download or read book Studies in Ordinary Differential Equations written by H. A. Antosiewicz and published by Mathematical Association of America (MAA). This book was released on 1977 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold Thayer Davis
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (11 download)
Download or read book Studies in Differential Equations written by Harold Thayer Davis and published by . This book was released on 1983 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anton Zettl
Publisher : American Mathematical Soc.
ISBN 13 : 0821852671
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)
Download or read book Sturm-Liouville Theory written by Anton Zettl and published by American Mathematical Soc.. This book was released on 2005 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1836-1837 Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which started the subject now known as the Sturm-Liouville problem. In 1910 Hermann Weyl published an article which started the study of singular Sturm-Liouville problems. Since then, the Sturm-Liouville theory remains an intensely active field of research, with many applications in mathematics and mathematical physics. The purpose of the present book is (a) to provide a modern survey of some of the basic properties of Sturm-Liouville theory and (b) to bring the reader to the forefront of knowledge about some aspects of this theory. To use the book, only a basic knowledge of advanced calculus and a rudimentary knowledge of Lebesgue integration and operator theory are assumed. An extensive list of references and examples is provided and numerous open problems are given. The list of examples includes those classical equations and functions associated with the names of Bessel, Fourier, Heun, Ince, Jacobi, Jorgens, Latzko, Legendre, Littlewood-McLeod, Mathieu, Meissner, Morse, as well as examples associated with the harmonic oscillator and the hydrogen atom. Many special functions of applied mathematics and mathematical physics occur in these examples.
Author : Svein Linge
Publisher : Springer
ISBN 13 : 3319324284
Total Pages : 244 pages
Book Rating : 4.3/5 (193 download)
Download or read book Programming for Computations - Python written by Svein Linge and published by Springer. This book was released on 2016-07-25 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.
Author : Steven Holzner
Publisher : John Wiley & Sons
ISBN 13 : 0470178140
Total Pages : 381 pages
Book Rating : 4.4/5 (71 download)
Download or read book Differential Equations For Dummies written by Steven Holzner and published by John Wiley & Sons. This book was released on 2008-06-03 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fun and easy way to understand and solve complex equations Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations. This plain-English guide explores the many applications of this mathematical tool and shows how differential equations can help us understand the world around us. Differential Equations For Dummies is the perfect companion for a college differential equations course and is an ideal supplemental resource for other calculus classes as well as science and engineering courses. It offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.
Author : Muriel Bowden
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (561 download)
Download or read book A Study of the Ordinary Differential Equation written by Muriel Bowden and published by . This book was released on 1934 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
